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Analysis of landing gear shimmy considering tire time delay effect
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Chongchong LIU1, Xiaochuan LIU1, Yong XU2, 3, Zhengquan YANG1, Zhaoming HUANG1
Journal of Vibration Engineering | 2025, 38(8) : 1645 - 1654
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Journal of Vibration Engineering | 2025, 38(8): 1645-1654
Analysis of landing gear shimmy considering tire time delay effect
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Chongchong LIU1, Xiaochuan LIU1, Yong XU2, 3, Zhengquan YANG1, Zhaoming HUANG1
Affiliations
  • 1.National Key Laboratory of Strength and Structural Integrity，Aircraft Strength Research Institute of China，Xi’an 710065，China
  • 2.School of Mathematics and Statistics，Northwestern Polytechnical University，Xi’an 710072，China
  • 3.MOE Key Laboratory for Complexity Science in Aerospace，Northwestern Polytechnical University，Xi’an 710072，China
Published: 2025-08-10 doi: 10.16385/j.cnki.issn.1004-4523.202309040
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The tire deformation traveling wave characteristics vary at different vibration frequencies and speeds，and are influenced by the coupling of landing gear structural vibration，resulting in continuous changes in tire lateral deformation modes. The tire models for previous traditional landing gear shimmy analysis are quasi-static restoring force model，which assumes that the functional relationship between tire lateral force，self-aligning moment and lateral deformation is fixed. Based on the tire stretched string theory，a time delay tire model coupled with landing gear shimmy is established to analyze the dynamic changes in tire lateral deformation modes，and the real-time lateral deformation distribution of the tire and the nonlinear dynamic behavior of the landing gear during shimmy are obtained. The time delay is introduced to calculate the tire deformation traveling wave，and the stability of the landing gear tire coupled shimmy model is studied by the bisection method. The testing methods for the parameters of time delay tire shimmy model is provided. Using the methods presented in this paper，the landing gear shimmy analysis and experimental test of a certain aircraft are conducted. The calculated vibration frequency and shimmy stability region are consistent with the analysis results of traditional tire models and test results.

shimmy  /  landing gear  /  tires  /  time delay  /  stability  /  damping
Chongchong LIU, Xiaochuan LIU, Yong XU, Zhengquan YANG, Zhaoming HUANG. Analysis of landing gear shimmy considering tire time delay effect[J]. Journal of Vibration Engineering, 2025 , 38 (8) : 1645 -1654 . DOI: 10.16385/j.cnki.issn.1004-4523.202309040
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.202309040
  • Receive Date：2023-09-14
  • Online Date：2026-02-09
  • Published：2025-08-10
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History
  • Received：2023-09-14
  • Revised：2024-04-20
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Affiliations
    1.National Key Laboratory of Strength and Structural Integrity，Aircraft Strength Research Institute of China，Xi’an 710065，China
    2.School of Mathematics and Statistics，Northwestern Polytechnical University，Xi’an 710072，China
    3.MOE Key Laboratory for Complexity Science in Aerospace，Northwestern Polytechnical University，Xi’an 710072，China
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Citations
表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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